226855507630752 has 1920 divisors, whose sum is σ = 927587271131136. Its totient is φ = 52471203840000.

The previous prime is 226855507630733. The next prime is 226855507630799. The reversal of 226855507630752 is 257036705558622.

226855507630752 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 5 + 550 + 7 + 6 + 3 + 0 + 75 + 2 = 666.

226855507630752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 226855507630752.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 26623104252 + ... + 26623112772.

Almost surely, 2^{226855507630752} is an apocalyptic number.

226855507630752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226855507630752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463793635565568).

226855507630752 is an abundant number, since it is smaller than the sum of its proper divisors (700731763500384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

226855507630752 is a wasteful number, since it uses less digits than its factorization.

226855507630752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8936 (or 8919 counting only the distinct ones).

The product of its (nonzero) digits is 211680000, while the sum is 63.

The spelling of 226855507630752 in words is "two hundred twenty-six trillion, eight hundred fifty-five billion, five hundred seven million, six hundred thirty thousand, seven hundred fifty-two".